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Finding the Fourth Proportional to 3,471.75, 5,207.24 and 874.70

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Solution

The fourth proportional to 3,471.75, 5,207.24 and 874.70 is: 1,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.75 : 5,207.24 = 874.70 : x
  2. Step 2: Convert to fraction form
    3,471.75/5,207.24 = 874.70/x
  3. Step 3: Cross multiply
    3,471.75x = 5,207.24 × 874.70
  4. Step 4: Simplify right side
    3,471.75x = 4,554,742.42
  5. Step 5: Solve for x
    x = 4,554,742.42/3,471.75
  6. Step 6: Final answer
    x = 1,311.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.